-29=5(3n-7)+7(n+4)

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Solution for -29=5(3n-7)+7(n+4) equation:


Simplifying
-29 = 5(3n + -7) + 7(n + 4)

Reorder the terms:
-29 = 5(-7 + 3n) + 7(n + 4)
-29 = (-7 * 5 + 3n * 5) + 7(n + 4)
-29 = (-35 + 15n) + 7(n + 4)

Reorder the terms:
-29 = -35 + 15n + 7(4 + n)
-29 = -35 + 15n + (4 * 7 + n * 7)
-29 = -35 + 15n + (28 + 7n)

Reorder the terms:
-29 = -35 + 28 + 15n + 7n

Combine like terms: -35 + 28 = -7
-29 = -7 + 15n + 7n

Combine like terms: 15n + 7n = 22n
-29 = -7 + 22n

Solving
-29 = -7 + 22n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-22n' to each side of the equation.
-29 + -22n = -7 + 22n + -22n

Combine like terms: 22n + -22n = 0
-29 + -22n = -7 + 0
-29 + -22n = -7

Add '29' to each side of the equation.
-29 + 29 + -22n = -7 + 29

Combine like terms: -29 + 29 = 0
0 + -22n = -7 + 29
-22n = -7 + 29

Combine like terms: -7 + 29 = 22
-22n = 22

Divide each side by '-22'.
n = -1

Simplifying
n = -1

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